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Finding the Fourth Proportional to 11,766.79, 17,660.31 and 6,829.57

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Solution

The fourth proportional to 11,766.79, 17,660.31 and 6,829.57 is: 10,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.79 : 17,660.31 = 6,829.57 : x
  2. Step 2: Convert to fraction form
    11,766.79/17,660.31 = 6,829.57/x
  3. Step 3: Cross multiply
    11,766.79x = 17,660.31 × 6,829.57
  4. Step 4: Simplify right side
    11,766.79x = 120,612,323.37
  5. Step 5: Solve for x
    x = 120,612,323.37/11,766.79
  6. Step 6: Final answer
    x = 10,250.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.